Protection of quantum systems by nested dynamical decoupling

Abstract

Based on a theorem we establish on dynamical decoupling of time-dependent systems, we present a scheme of nested Uhrig dynamical decoupling (NUDD) to protect multi-qubit systems in generic quantum baths to arbitrary decoupling orders, using only single-qubit operations. The number of control pulses in NUDD increases polynomially with the decoupling order. For general multi-level systems, this scheme can preserve a set of unitary Hermitian system operators which mutually either commute or anti-commute, and hence all operators in the Lie algebra generated from this set of operators, generating an effective symmetry group for the system up to a given order of precision. NUDD can be implemented with pulses of finite amplitude, up to an error in the second order of the pulse durations.

11 pages, fully rewritten from version 1, some corrections made from version 2

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Cited by in corpus (50)

• Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits
• Review of Decoherence Free Subspaces, Noiseless Subsystems, and Dynamical Decoupling
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• Dynamical decoupling for superconducting qubits: a performance survey
• Multiqubit Spectroscopy of Gaussian Quantum Noise
• Zeno effect for quantum computation and control
• Preserving entanglement and nonlocality in solid-state qubits by dynamical decoupling
• Environmental noise spectroscopy with qubits subjected to dynamical decoupling
• Combining dynamical decoupling with fault-tolerant quantum computation
• Noise-resilient quantum evolution steered by dynamical decoupling
• Spectroscopy of cross-correlations of environmental noises with two qubits
• Reducing sequencing complexity in dynamical quantum error suppression by Walsh modulation
• Dynamical decoupling sequences for multi-qubit dephasing suppression and long-time quantum memory
• Quadratic Dynamical Decoupling: Universality Proof and Error Analysis
• Dynamical decoupling design for identifying weakly coupled nuclear spins in a bath
• Optimally combining dynamical decoupling and quantum error correction
• Decoherence control: Universal protection of two-qubit states and two-qubit gates using continuous driving fields
• Optimized Dynamical Decoupling via Genetic Algorithms
• High fidelity quantum memory via dynamical decoupling: theory and experiment
• Universal dynamical decoupling of multiqubit states from environment
• Improving autonomous thermal entanglement generation using a common reservoir
• Protecting and Enhancing Spin Squeezing via Continuous Dynamical Decoupling
• Concatenated dynamical decoupling with virtual pulses
• Exchange-Only Dynamical Decoupling in the 3-Qubit Decoherence Free Subsystem
• Pointer States via Engineered Dissipation
• Low field nano-NMR via three-level system control
• Quadratic Dynamical Decoupling with Non-Uniform Error Suppression
• Modulated Continuous Wave Control for Energy-efficient Electron-nuclear Spin Coupling
• Optimized Dynamical Decoupling Sequences in Protecting Two-Qubit States
• Shaped Pulses for Energy Efficient High-Field NMR at the Nanoscale
• Spin-echo entanglement protection from random telegraph noise
• Robust Detection of High-Frequency Signals at the Nanoscale
• Rigorous Performance Bounds for Quadratic and Nested Dynamical Decoupling
• Universality proof and analysis of generalized nested Uhrig dynamical decoupling
• Universal Uhrig dynamical decoupling for bosonic systems
• Experimental protection of arbitrary states in a two-qubit subspace by nested Uhrig dynamical decoupling
• Designing arbitrary single-axis rotations robust against perpendicular time-dependent noise
• No-go theorem and optimization of dynamical decoupling against noise with soft cutoff
• Uhrig Dynamical Control of a Three-Level System Via Non-Markovian Quantum State Diffusion
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• Extending quantum control of time-independent systems to time-dependent systems
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• Demonstration of High-Fidelity Entangled Logical Qubits using Transmons
• Short coherent control pulse with small random errors in its direction
• Color it, Code it, Cancel it: k-local dynamical decoupling from classical additive codes
• Filter-design perspective applying to dynamical decoupling of a multi-qubit system
• Dynamical decoupling protection for three-level systems